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106522503552 = 2732312982821
BaseRepresentation
bin110001100110100111…
…1000110100110000000
3101011221201212212001100
41203031033012212000
53221124230103202
6120534042534400
710460504224563
oct1431517064600
9334851785040
10106522503552
11411a31a3603
121878a207400
13a077c0c3ba
1452274024da
152b86b8341c
hex18cd3c6980

106522503552 has 96 divisors (see below), whose sum is σ = 316417757760. Its totient is φ = 34362086400.

The previous prime is 106522503551. The next prime is 106522503713. The reversal of 106522503552 is 255305225601.

106522503552 is a `hidden beast` number, since 1 + 0 + 6 + 52 + 2 + 50 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1065225035522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106522503551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455699 + ... + 1527122.

It is an arithmetic number, because the mean of its divisors is an integer number (3296018310).

Almost surely, 2106522503552 is an apocalyptic number.

106522503552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106522503552 is an abundant number, since it is smaller than the sum of its proper divisors (209895254208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106522503552 is a wasteful number, since it uses less digits than its factorization.

106522503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982872 (or 2982857 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 106522503552 in words is "one hundred six billion, five hundred twenty-two million, five hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 2982821 5965642 8948463 11931284 17896926 23862568 26845389 35793852 47725136 53690778 71587704 92467451 95450272 107381556 143175408 184934902 190900544 214763112 277402353 286350816 369869804 381801088 429526224 554804706 572701632 739739608 832207059 859052448 1109609412 1145403264 1479479216 1664414118 1718104896 2219218824 2958958432 3328828236 3436209792 4438437648 5917916864 6657656472 8876875296 11835833728 13315312944 17753750592 26630625888 35507501184 53261251776 106522503552